Influence of assembly on unbalanced state and dynamic response dispersity of high-speed rotors
-
摘要:
先进航空发动机转子出于对轻质高效的需求，转速负荷不断提高，使得其动力响应对自身不平衡状态愈发敏感，极易受到装配影响。因此，针对高速转子结构系统，构建了装配特征参数与转子不平衡状态关联，建立了可以考虑装配影响的转子动力响应分散性模型，揭示了装配对转子动力响应分散性影响机理。研究表明：不同装配会带来转子内构件惯性主轴偏斜分布状态的不同，其中，由于涡轮盘等薄盘的惯性主轴倾斜会在高速旋转状态下产生较大的旋转惯性力矩激励作用，因此装配特征参数不同带来的涡轮盘惯性主轴倾斜幅值分散性是引起高转速下转子动力响应分散性的重要原因。
Abstract:Advanced aero-engine rotors require lightweight and high-efficiency designs, leading to increased rotational speeds. This makes their dynamic response highly sensitive to unbalanced states and assembly effects. To address this issue, the correlations between assembly parameters and rotor unbalanced states were investigated. An assembly-dependent rotor dynamic response dispersion model was developed, revealing how assembly affected response variability. Results indicated that different assemblies altered the deflection distribution of the rotor’s inertia spindle. Notably, the tilt of a thin turbine disc’s inertia spindle generated significant rotational inertia moment excitation under high-speed conditions. Variations in assembly parameters caused dispersion in the turbine disc’s spindle tilt amplitude, which critically contributed to high-speed rotor dynamic response dispersion.
-
Key words:
- rotor dynamics /
- rotational inertia /
- dynamic response /
- structural state /
- interface connection
-
图 1 某型发动机转子连接界面及核心构件
Figure 1. Rotor connection interface and core components of a certain type of engine
图 2 构件形位公差和不平衡状态示意图
Figure 2. Schematic diagram of component geometric tolerances and unbalance
图 3 两类构件堆叠装配相对位置示意图
Figure 3. Relative position diagram of two kinds of component stacking assembly
图 5 转子组成构件惯性载荷激励特征
Figure 5. Excitation characteristics of inertial loads of rotor constituent members
图 6 转子装配完成后各构件惯性主轴倾斜
Figure 6. After the rotor assembly is completed, the inertia spindle of each component is tilted
图 8 不同转速下转子横向变形幅值分散性特征
Figure 8. Dispersion characteristics of the lateral deformation amplitude of the rotor at different speeds
图 9 装配参数对动力响应分散性的贡献度
Figure 9. Contribution of assembly parameters to dynamic response dispersion
表 1 构件不平衡状态及形位公差输入值
Table 1. Input values for component unbalance and geometric tolerances
参数 构件质量不对称性幅值上限 构件形位公差幅值上限 质心偏移幅值/10−3 mm 惯性主轴倾斜幅值/10−3 rad 端跳幅值/10−2 mm 径跳幅值/10−2 mm 三级盘轴* 0.330 1.792/0.873 1.421/1.282 一二级盘 0.566 0.168 2.701 0.228 四九级盘 0.685 1.120 1.431 1.715 篦齿盘 0.522 0.825 1.466 鼓筒轴 0.600 1.025 封严盘 6.150 0.453 0.979 涡轮盘 7.310 0.493 1.582 后轴 0 0.833 注：*表示由于三级盘轴同时与一二级盘和四九级盘连接，因此该构件有前后两处安装止口边，故而其端跳/径跳包括前止口和后止口两处位置的测量值。 
下载: 导出CSV
表 2 转子装配完成后各构件惯性主轴倾斜统计
Table 2. Inertia spindle tilt statistics of each component after the rotor assembly is completed
构件名称 平均值/
10−5 rad统计极限值/
10−5 rad压气机转子 三级盘轴 1.6 3.3 一二级盘 2.5 5.2 四九级盘 1.3 2.7 篦齿盘 1.6 3.0 涡轮转子 鼓筒轴 1.6 3.2 封严盘 1.7 3.8 涡轮盘 1.7 3.9 后轴 1.8 4.0
下载: 导出CSV
-
[1] JEFFCOTT H H. XXVII. The lateral vibration of loaded shafts in the neighbourhood of a whirling speed: the effect of want of balance[J]. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1919, 37(219): 304-314. doi: 10.1080/14786440308635889 [2] RAO J S. History of rotating machinery dynamics[M]. New York: Springer, 2011. [3] SMITH D M. The motion of a rotor carried by a flexible shaft in flexible bearings[J]. Proceedings of the Royal society A: Mathematical, Physical And Engineering Sciences, 1933, 142(846): 92-118. [4] DEN HARTOG J P. Mechanical vibration[M]. New York: McGraw-Hill Book Company, 1940. [5] TIMOSHENKO S P. Vibration problems in engineering[M]. New York: D. Van Nostrand, 1955. [6] CARNEGIE W. Rotary inertia and gyroscopic effects in overhung shaft systems[J]. Bulletin of Mechanical Engineering Education, 1964, 3: 191. [7] KIKUCHI K. Analysis of unbalance vibration of rotating shaft system with many bearings and disks[J]. Bulletin of JSME, 1970, 13(61): 864-872. doi: 10.1299/jsme1958.13.864 [8] CRUZ W, ARZOLA N, ARAQUE O. Modeling and experimental validation of the vibration in an unbalance multi-stage rotor[J]. Journal of Mechanical Engineering and Sciences, 2019, 13(3): 5703-5716. doi: 10.15282/jmes.13.3.2019.30.0456 [9] DATZ J, KARIMI M, MARBURG S. Effect of uncertainty in the balancing weights on the vibration response of a high-speed rotor[J]. Journal of Vibration and Acoustics, 2021, 143(6): 061002. doi: 10.1115/1.4049628 [10] 洪杰, 杨哲夫, 孙博, 等. 局部旋转惯性对转子系统动力特性的影响[J]. 航空动力学报, 2022, 37(4): 673-683. HONG Jie, YANG Zhefu, SUN Bo, et al. Effect of local rotational inertia on dynamic characteristics of rotor system[J]. Journal of Aerospace Power, 2022, 37(4): 673-683(. in ChineseHONG Jie, YANG Zhefu, SUN Bo, et al. Effect of local rotational inertia on dynamic characteristics of rotor system[J]. Journal of Aerospace Power, 2022, 37(4): 673-683(. in Chinese) [11] 洪杰, 闫琦, 丰少宝, 等. 界面连接多盘转子旋转惯性模型及动力响应特性[J]. 航空动力学报, 2022, 37(5): 897-908. HONG Jie, YAN Qi, FENG Shaobao, et al. Rotational inertia model and dynamic response characteristics of multi-disk rotor system with interface[J]. Journal of Aerospace Power, 2022, 37(5): 897-908. (in ChineseHONG Jie, YAN Qi, FENG Shaobao, et al. Rotational inertia model and dynamic response characteristics of multi-disk rotor system with interface[J]. Journal of Aerospace Power, 2022, 37(5): 897-908. (in Chinese) [12] HAN Zhuoluo, WANG Dong, WANG Yongfeng, et al. Dynamic effects of the initial skewness of the inertial principal axis on the rotor with bolted joint[J]. Mechanical Systems and Signal Processing, 2023, 200: 110564. doi: 10.1016/j.ymssp.2023.110564 [13] WU Fayong, HONG Jie, CHEN Xueqi, et al. Analysis of high-speed rotor vibration failure due to sudden angular deformation of bolt joints[J]. Symmetry, 2023, 15(10): 1937. doi: 10.3390/sym15101937 [14] WU Fayong, HONG Jie, CHEN Xueqi. Distributed rotational inertia load excitation model and its impact on high-speed jointed rotor dynamic response[J]. Symmetry, 2023, 15(11): 2009. doi: 10.3390/sym15112009 [15] SHUGUO L, YANHONG M, DAYI Z, et al. Studies on dynamic characteristics of the joint in the aero-engine rotor system[J]. Mechanical Systems and Signal Processing, 2012, 29: 120-136. [16] LIU Yi, LIU Heng, FAN Bowen. Nonlinear dynamic properties of disk-bolt rotor with interfacial cutting faults on assembly surfaces[J]. Journal of Vibration and Control, 2018, 24(19): 4369-4382. doi: 10.1177/1077546317724602 [17] LIU Yi, LIU Heng, FAN Bowen. Numerical analysis on the static-dynamic coupling influences of parallelism flaw in disc-rod rotor ball bearing system[J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2018, 232(1): 103-112. [18] CHEN Xueqi, MA Yanhong, HONG Jie. Vibration suppression of additional unbalance caused by the non-continuous characteristics of a typical aero-engine rotor[C]//Proceedings of the 10th International Conference on Rotor Dynamics-IFToMM. Cham, Swisse: Springer International Publishing, 2018: 34-48. [19] 洪杰, 徐翕如, 苏志敏, 等. 高速转子连接结构刚度损失及振动特性[J]. 北京航空航天大学学报, 2019, 45(1): 18-25. HONG Jie, XU Xiru, SU Zhimin, et al. Joint stiffness loss and vibration characteristics of high-speed rotor[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(1): 18-25. (in ChineseHONG Jie, XU Xiru, SU Zhimin, et al. Joint stiffness loss and vibration characteristics of high-speed rotor[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(1): 18-25. (in Chinese) [20] SALTELLI A, ANNONI P, AZZINI I, et al. Variance based sensitivity analysis of model output: design and estimator for the total sensitivity index[J]. Computer Physics Communications, 2010, 181(2): 259-270. doi: 10.1016/j.cpc.2009.09.018 -
点击查看大图
计量
- 文章访问数: 665
- HTML浏览量: 176
- PDF量: 73
- 被引次数: 0